Abstract:
We define Tamagawa numbers for quasi-connected linear algebraic groups. This category of non-connected linear algebraic groups occurs naturally in the stabilization of the Arthur-Selberg trace formula. An expression for their Tamagawa numbers, needed for the stabilization process, is given in term of cohomological invariants generalizing results of Ono, Sansuc, Kottwitz and Kottwitz & Shestad.
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Received: 7 March 2000
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Labesse, JP. Nombres de Tamagawa des groupes réductifs quasi-connexes. manuscripta math. 104, 407–430 (2001). https://doi.org/10.1007/s002290170016
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DOI: https://doi.org/10.1007/s002290170016